यदि \(A\subseteq B\subseteq U\), (|U|=9), (|B|=6), और (|A|=4) है, तो (|\mathcal{P}(B-A)|+|\mathcal{P}(U-B)|) कितना है?
If \(A\subseteq B\subseteq U\), (|U|=9), (|B|=6), and (|A|=4), what is (|\mathcal{P}(B-A)|+|\mathcal{P}(U-B)|)?
Explanation opens after your attempt
Correct Answer
B. (12)
Concept
(|B-A|=2) and (|U-B|=3), so \(2^2+2^3=4+8=12\). In exams, find differences in nested subsets by direct subtraction.
Why this answer is correct
The correct answer is B. (12). (|B-A|=2) and (|U-B|=3), so \(2^2+2^3=4+8=12\). In exams, find differences in nested subsets by direct subtraction.
Exam Tip
(|B-A|=2) और (|U-B|=3), इसलिए \(2^2+2^3=4+8=12\)। परीक्षा में nested subsets में अंतर सीधे घटाकर निकालें।
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